Preface |
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ix | |
Acknowledgments |
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xi | |
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1 Conservation Laws in Thermal-Fluid Sciences |
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1 | (28) |
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1.1 Conservation Laws in Integral Form |
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3 | (7) |
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1.1.1 Conservation of Mass |
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3 | (2) |
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1.1.2 Conservation of Momentum |
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5 | (2) |
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1.1.3 Conservation of Energy |
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7 | (3) |
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1.2 Conservation Laws in Differential Form |
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10 | (11) |
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1.2.1 The Continuity Equation |
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11 | (1) |
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1.2.2 Differential Form of the Conservation of Momentum |
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12 | (6) |
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1.2.3 The Energy Equation |
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18 | (3) |
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21 | (3) |
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21 | (1) |
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1.3.2 Two-Dimensional Flow |
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21 | (1) |
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21 | (2) |
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1.3.4 Inertia-free (Stokes) Flow |
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23 | (1) |
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1.3.5 Constant Density Flow |
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23 | (1) |
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1.3.6 Incompressible Flow |
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23 | (1) |
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1.4 General Form of the Conservation Laws |
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24 | (1) |
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1.5 Cartesian, Cylindrical, and Spherical Coordinates |
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25 | (4) |
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1.5.1 Cartesian Coordinates |
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25 | (1) |
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1.5.2 Cylindrical Coordinates |
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26 | (1) |
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1.5.3 Spherical Coordinates |
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26 | (3) |
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2 Introduction to Computational Fluid Dynamics Using the Finite Volume Method |
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29 | (36) |
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2.1 What Is Computational Fluid Dynamics? |
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30 | (1) |
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2.2 The Building Blocks of a CFD Solution Method |
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31 | (3) |
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2.2.1 Sources of Numerical Error |
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33 | (1) |
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2.2.2 Assessment of a CFD Solution Method |
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33 | (1) |
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2.3 Numerical Representation of the Domain |
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34 | (2) |
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2.4 The Finite Volume Method |
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36 | (8) |
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2.4.1 Evaluation of the Volume Integral |
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37 | (1) |
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2.4.2 Evaluation of the Surface Integral of the Diffusion Flux |
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38 | (1) |
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2.4.3 Evaluation of the Surface Integral of the Advection Flux |
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38 | (2) |
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2.4.4 Evaluation of ∂φ/∂n at the Face |
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40 | (1) |
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2.4.5 Evaluation of φ at the Face |
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41 | (1) |
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2.4.6 Evaluation of the Advection Term |
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41 | (2) |
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2.4.7 Numerically Solving the Steady General Transport Equation |
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43 | (1) |
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2.5 Solving of the Linear System of Equations |
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44 | (3) |
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2.5.1 Jacobi-Based Iterative Methods |
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45 | (2) |
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2.6 Integration in Time for Unsteady Flow |
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47 | (2) |
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2.7 The Navier-Stokes Equations |
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49 | (7) |
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51 | (2) |
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53 | (3) |
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56 | (4) |
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2.8.1 Inflow Boundary Condition |
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57 | (1) |
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2.8.2 Wall Boundary Condition |
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58 | (1) |
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2.8.3 Symmetry Boundary Condition |
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59 | (1) |
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2.8.4 Outflow Boundary Condition |
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60 | (1) |
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2.9 Solution Verification |
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60 | (5) |
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3 Two-Dimensional Steady State Laminar Incompressible Fluid Flow |
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65 | (46) |
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66 | (1) |
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67 | (1) |
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3.3 Governing Equations and Boundary Conditions |
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68 | (4) |
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3.3.1 Exact Solution in the Fully Developed Region |
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69 | (3) |
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72 | (1) |
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3.4 Modeling Using Fluent |
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72 | (32) |
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3.4.1 Introduction to ANSYS Fluent |
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73 | (1) |
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74 | (6) |
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80 | (5) |
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85 | (19) |
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104 | (7) |
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3.5.1 Grid Independent Study |
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105 | (2) |
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3.5.2 Comparison with Exact Solution and/or Empirical relations |
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107 | (4) |
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4 Three-Dimenshmal Steady State Turbulent Incompressible Fluid Flow |
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111 | (44) |
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4.1 Introduction to Turbulence |
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112 | (2) |
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114 | (3) |
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4.2.1 The Turbulence Energy Spectrum |
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114 | (1) |
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115 | (1) |
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4.2.3 Turbulence Closure Models |
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116 | (1) |
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117 | (1) |
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117 | (1) |
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4.4 Governing Equations and Boundary Conditions |
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118 | (3) |
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4.4.1 Flow in the Fully Developed Region |
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119 | (2) |
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4.5 Modeling Using Fluent |
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121 | (26) |
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121 | (6) |
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127 | (4) |
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131 | (7) |
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138 | (9) |
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147 | (8) |
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4.6.1 Grid Independent Study |
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147 | (4) |
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4.6.2 Comparison with Empirical Correlations |
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151 | (4) |
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5 Convection Heat Transfer for Two-Dimensional Steady State Incompressible Flow |
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155 | (46) |
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5.1 Introduction to Heat Transfer |
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156 | (4) |
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157 | (1) |
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158 | (1) |
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159 | (1) |
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160 | (2) |
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5.3 Governing Equations and Boundary Conditions |
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162 | (7) |
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5.3.1 Heat Conduction in the Pipe Wall |
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163 | (1) |
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5.3.2 Forced Convection of Internal Flow |
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164 | (2) |
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166 | (1) |
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5.3.4 Fully Developed Region |
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167 | (2) |
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5.4 Modeling Using Fluent |
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169 | (28) |
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170 | (6) |
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176 | (5) |
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181 | (11) |
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192 | (5) |
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197 | (4) |
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5.5.1 Grid Independent Study |
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197 | (1) |
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5.5.2 Comparison with Empirical Correlations |
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198 | (3) |
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6 Three-Dimensional Fluid Flow and Heat Transfer Modeling in a Heat Exchanger |
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201 | (48) |
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6.1 Introduction to Heat Exchangers |
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202 | (5) |
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207 | (1) |
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6.3 Modeling Using Fluent |
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207 | (37) |
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207 | (19) |
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226 | (6) |
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232 | (12) |
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244 | (5) |
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6.4.1 Grid Independent Study |
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244 | (5) |
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7 Three-Dimensional Fluid Flow and Heat Transfer Modeling in a Heat Sink |
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249 | (38) |
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7.1 Introduction to Heat Sinks |
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250 | (2) |
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252 | (1) |
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7.3 Modeling using Fluent |
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253 | (29) |
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254 | (1) |
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7.3.2 Create Geometry in Design Modeler |
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254 | (15) |
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269 | (5) |
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274 | (4) |
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278 | (4) |
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282 | (5) |
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285 | (2) |
A Upwind Schemes to Evaluate the Advection Term |
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287 | (4) |
B Time Integration Schemes |
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291 | (2) |
C Instructions to Download ANSYS |
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293 | (2) |
D SpaceClaim Tutorials |
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295 | (38) |
Index |
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333 | |